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which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)

which of the following is the equation of a line parallel to the line y x 1 passing through the point 41 class=

Respuesta :

Answer:

A. x + y = 5

Step-by-step explanation:

The slope of the equation is equal for parallel lines,

; Slope = (-1)

;Use the formula

(y - y(coordinate of the given point)) = slope × [(x - x(coordinate of the given point)]

; y - 1 = (-1)(x - 4)

; y - 1 = -x + 4...then move the variable (x) to the left hand side and then move (-1) to the right hand side

; x + y = 4 + 1

; Hence,

; x + y = 5